Addition of binary numbers

Mere conversion of decimal to binary is easy to understand. However when addition of two binary numbers comes into the picture things get complicated. Here is just an attempt to explain this important concept using power point slides. The animated version of this and similar concepts will be uploaded on our web site very soon.

1. Step 1
44
57
0000000000101100
0000000000111001
0123456712131415
Start
Here

2. Step 2
44
57
0000000000101100
0000000000111001
0123456712131415
Start
Here
1
1 + 0 -----------> 1

3. Step 3
44
57
0000000000101100
0000000000111001
0123456712131415
Move
Here
01
0 + 0 -----------> 0

4. Step 4
44
57
0000000000101100
0000000000111001
0123456712131415
Move
Here
101
1+ 0 -----------> 1

5. Step 5
44
57
0000000000101100
0000000000111001
0123456712131415
Move
Here
0101
1+ 1 -----------> 10
1
Carry forward

6. Step 6
44
57
0000000000101100
0000000000111001
0123456712131415
Move
Here
00101
1+ 1 -----------> 10
1
Carry forward

7. Step 7
44
57
0000000000101100
0000000000111001
0123456712131415
Move
Here
100101
1+ 1 + 1 ---------> 11
1
Carry forward

8. Step 8
44
57
0000000000101100
0000000000111001
0123456712131415
Move
Here
0000000001100101
1+ 0 ---------> 1
1
Carry forward
101
6432 4 1